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73083131 = 1153671871
BaseRepresentation
bin1000101101100…
…10100011111011
312002112000012122
410112302203323
5122202130011
611130231455
71545124232
oct426624373
9162460178
1073083131
1138287490
122058558b
13121aac74
1499c5b19
1566393db
hex45b28fb

73083131 has 16 divisors (see below), whose sum is σ = 82487808. Its totient is φ = 64178400.

The previous prime is 73083113. The next prime is 73083133. The reversal of 73083131 is 13138037.

It is not a de Polignac number, because 73083131 - 26 = 73083067 is a prime.

It is a super-2 number, since 2×730831312 = 10682288073526322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73083131.

It is not an unprimeable number, because it can be changed into a prime (73083133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38126 + ... + 39996.

It is an arithmetic number, because the mean of its divisors is an integer number (5155488).

Almost surely, 273083131 is an apocalyptic number.

73083131 is a deficient number, since it is larger than the sum of its proper divisors (9404677).

73083131 is a wasteful number, since it uses less digits than its factorization.

73083131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 73083131 is about 8548.8672349031. The cubic root of 73083131 is about 418.0925044997.

The spelling of 73083131 in words is "seventy-three million, eighty-three thousand, one hundred thirty-one".

Divisors: 1 11 53 67 583 737 1871 3551 20581 39061 99163 125357 1090793 1378927 6643921 73083131